Quantitative Aptitude Test 58

Quantitative Aptitude

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1. The factors of a3 + 4a2 – 11a – 30 are:

 
 
 
 

2. If 3x – 3x-1 = 18, then the value of xx is equal to:

 
 
 
 

3. A cylindrical drum of radius 50 cm and height 30 cm is completely filled under a running tap of water in 2 minutes. If the radius of the circular tap is 1 cm, then the velocity of the water flowing through the tap is equal to:

 
 
 
 

4. A circus tent is cylindrical to a height of 3 m and conical above it. If its diameter is 105 rn and slanting height of the cone is 53 m, then the area of the, canvas used is equal to:

 
 
 
 

5. If x = 3 – Ö5 then the value of x2 + 16/x2 is equal to:

 
 
 
 

6. A cylindrical vessel 80 cm in diameter is partly filled with water. If a heavy sphere of 60 cm diameter is gently dropped into the vessel, then the water level will rise by another:

 
 
 
 

7. 3x = 5y = 45z, then

 
 
 
 

8. If 2x – ky + z = 0 is a factor of
9y2 – Z2 – 2xz + 6xy, then the value of k is equal to:

 
 
 
 

9. When x5 – 5x4 + 9x3 – 6X2 – 16x + 13 is divided by x2 – 3x + a, the quotient and the remainder are x3 – 2x2 + x + 1 and -15x + 11, respectively. The value of a is equal to:

 
 
 
 

10. If x1/3 + y1/3 + Z1/3 = 0, then the value of (x+y+z)3 will be:

 
 
 
 

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